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Finding the Fourth Proportional to 3,437.17, 5,155.76 and 840.11

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Solution

The fourth proportional to 3,437.17, 5,155.76 and 840.11 is: 1,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.17 : 5,155.76 = 840.11 : x
  2. Step 2: Convert to fraction form
    3,437.17/5,155.76 = 840.11/x
  3. Step 3: Cross multiply
    3,437.17x = 5,155.76 × 840.11
  4. Step 4: Simplify right side
    3,437.17x = 4,331,405.53
  5. Step 5: Solve for x
    x = 4,331,405.53/3,437.17
  6. Step 6: Final answer
    x = 1,260.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.